Max Born and Pascual Jordan proposed a first model of quantization in [1]}, restricted to one-dimensional systems, a model generalized to \(n\) -dimensional systems, together with Werner Heisenberg, in [2]}. Hermann Weyl introduced in [3]}, [4]} a general quantization scheme based on the Fourier transform formula. The Born–Jordan and Weyl quantizations produce in general different operators from the same classical function of momenta and coordinates. The two quantization methods, however, coincide on natural Hamiltonians in \(n\) -dimensional Euclidean spaces. This property and many others of the two quantizations are studied in the recent book [5]}, that is our main source for the following discussion.
